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Finding the Fourth Proportional to 274.38, 378.77 and 201.23

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Solution

The fourth proportional to 274.38, 378.77 and 201.23 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 378.77 = 201.23 : x
  2. Step 2: Convert to fraction form
    274.38/378.77 = 201.23/x
  3. Step 3: Cross multiply
    274.38x = 378.77 × 201.23
  4. Step 4: Simplify right side
    274.38x = 76,219.89
  5. Step 5: Solve for x
    x = 76,219.89/274.38
  6. Step 6: Final answer
    x = 277.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.